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12990930048 = 273295311833
BaseRepresentation
bin11000001100101000…
…11101110010000000
31020112100201121211100
430012110131302000
5203101134230143
65545024414400
7636633040425
oct140624356200
936470647740
1012990930048
115567050028
122626777400
1312c0547575
148b3487d4c
1551075e6d3
hex30651dc80

12990930048 has 96 divisors (see below), whose sum is σ = 37425143340. Its totient is φ = 4325400576.

The previous prime is 12990930037. The next prime is 12990930083. The reversal of 12990930048 is 84003909921.

It can be written as a sum of positive squares in 2 ways, for example, as 12310346304 + 680583744 = 110952^2 + 26088^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12990929985 and 12990930012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1091940 + ... + 1103772.

Almost surely, 212990930048 is an apocalyptic number.

12990930048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12990930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712571670).

12990930048 is an abundant number, since it is smaller than the sum of its proper divisors (24434213292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12990930048 is a wasteful number, since it uses less digits than its factorization.

12990930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806 (or 12791 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 12990930048 in words is "twelve billion, nine hundred ninety million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 953 1152 1906 2859 3812 5718 7624 8577 11436 11833 15248 17154 22872 23666 30496 34308 35499 45744 47332 60992 68616 70998 91488 94664 106497 121984 137232 141996 182976 189328 212994 274464 283992 365952 378656 425988 548928 567984 757312 851976 1097856 1135968 1514624 1703952 2271936 3407904 4543872 6815808 11276849 13631616 22553698 33830547 45107396 67661094 90214792 101491641 135322188 180429584 202983282 270644376 360859168 405966564 541288752 721718336 811933128 1082577504 1443436672 1623866256 2165155008 3247732512 4330310016 6495465024 12990930048